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Finding the Fourth Proportional to 21,178.19, 31,763.43 and 8,026.22

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Solution

The fourth proportional to 21,178.19, 31,763.43 and 8,026.22 is: 12,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.19 : 31,763.43 = 8,026.22 : x
  2. Step 2: Convert to fraction form
    21,178.19/31,763.43 = 8,026.22/x
  3. Step 3: Cross multiply
    21,178.19x = 31,763.43 × 8,026.22
  4. Step 4: Simplify right side
    21,178.19x = 254,940,277.13
  5. Step 5: Solve for x
    x = 254,940,277.13/21,178.19
  6. Step 6: Final answer
    x = 12,037.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.